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Question

How many lead shots, each 3mm in diameter, can be made from a cuboid with dimensions (12cm×11cm×9cm)?

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Solution

It is given that

Diameter =3mm=0.3cm

Radius =0.32 cm

We know that

Number of lead shots = volume of cuboid / volume of 1 lead shot

By substituting the values

Number of lead shots =(12×11×9)(43×227×(0.32)3)

On further calculation

Number of lead shots =(12×11×9)(43×227×(0.0278))
So we get

Number of lead shots =84000

Therefore, the number of lead shots are 84000.

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